Next: About this document
Up: Top
Previous: Jacobian of an N-M
References
- 1
-
Sverre J. Aarseth.
Direct Methods for N-Body Simulations.
In Multiple Time Scales, pages 377-418. Academic Press, Inc.,
1985.
- 2
-
D. V. Anosov.
Geodesic Flows and Closed Riemannian Manifolds with Negative
Curvature.
Proc. Steklov Inst. Math, 90:1, 1967.
- 3
-
Josh Barnes and Piet Hut.
A hierarchical
force-calculation algorithm.
Nature, 324:446-449, 4 December 1986.
- 4
-
Joshua Barnes, Jeremy Goodman, and Piet Hut.
Dynamical instabilities in spherical stellar systems.
The Astrophysical Journal, 300:112-131, 1986.
- 5
-
Joshua E. Barnes and Piet Hut.
Error analysis of a tree code.
Astrophysical Journal Supplement Series, 70:389-417, 1989.
- 6
-
James Binney and Scott Tremaine.
Galactic Dynamics.
Princeton Series in Astrophysics. Princeton University Press, 1987.
- 7
-
R. Bowen.
-Limit Sets for Axiom A Diffeomorphisms.
Journal of Differential Equations, 18:333, 1975.
- 8
-
Silvina Dawson, Celso Grebogi, Tim Sauer, and James A. Yorke.
Obstructions to Shadowing When a Lyapunov Exponent Fluctuates about
Zero.
Physical Review Letters, 73(14):1927-1930, 3 Oct 1994.
- 9
-
Al Geist, Adam Beguelin, Jack Dongarra, Weicheng Jiang, Robert Manchek, and
Vaidy Sunderam.
PVM: Parallel Virtual Machine:A Users' Guide and Tutorial for
Network Parallel Computing.
Available via anonymous ftp from
netlib2.cs.utk.edu:/pvm3/book/pvm-book.ps.
- 10
-
Jeremy Goodman, Douglas C. Heggie, and Piet Hut.
On the exponential instability of N-body systems.
The Astrophysical Journal, 415:715-733, 1993.
- 11
-
Celso Grebogi, Stephen M. Hammel, James A. Yorke, and Tim Sauer.
Shadowing of Physical Trajectories in Chaotic Dynamics: Containment
and Refinement.
Physical Review Letters, 65(13):1527-1530, 24 September 1990.
- 12
-
Leslie Greengard and Vladimir Rokhlin.
A fast algorithm for particle simulation.
Journal of Computational Physics, 73:325, 1987.
- 13
-
Ernst Hairer, Syvert Paul Nørsett, and Gerhard Wanner.
Solving Ordinary Differential Equations I - Nonstiff Problems.
Springer-Verlag, 1980.
- 14
-
D. C. Heggie and R. D. Mathieu.
Standardized units and time scales.
In Piet Hut and S. L. W. McMillan, editors, Standardized Units
and Time Scales, pages 233-235. Springer-Verlag, 1986.
- 15
-
Lars Hernquist, Piet Hut, and Jun Makino.
Discreteness noise versus force errors in N-body simulations.
Astrophysical Journal Letters, 402:L85-L88, 1993.
- 16
-
Alan C. Hindmarsh.
LSODE and LSODI, two new initial value ordinary differential
equation solvers.
ACM-SIGNUM Newsletter, 15(4):10-11, 1980.
- 17
-
J. Garrett Jernigan and David H. Porter.
A tree code with logarithmic reduction of force terms, hierarchical
regularization of all variables, and explicit accuracy controls.
Astrophysical Journal Supplement Series, 71:871-893, 1989.
- 18
-
David Kahaner, Cleve Moler, and Stephen Nash.
Numerical Methods and Software.
Prentice-Hall series in Computational Mathematics. Prentice-Hall,
1989.
- 19
-
Henry E. Kandrup and Haywood Smith.
On the sensitivity of the N-body problem to small changes in
initial conditions.
The Astrophysical Journal, 374:255-265, 1991.
- 20
-
Henry E. Kandrup and Haywood Smith.
On the sensitivity of the N-body problem to small changes in
initial conditions. II.
The Astrophysical Journal, 386:635-645, 1992.
- 21
-
Henry E. Kandrup, Haywood Smith, and David Willmes.
On the sensitivity of the N-body problem to small changes in
initial conditions. III.
The Astrophysical Journal, 399:627-633, 1992.
- 22
-
M. Lecar.
A comparison of eleven numerical integrations of the same
gravitational 25-body problem.
Bull. Astron., 3:91, 1968.
- 23
-
Thomas A. McGlynn.
Dissipational collapse of galaxies and initial conditions.
The Astrophysical Journal, 281:13-30, 1984.
- 24
-
David Merritt and Luis A. Aguilar.
A numerical study of the stability of spherical galaxies.
Monthly Notices of the Royal Astronomical Society,
217:787-804, 1985.
- 25
-
Dimitri Mihalas and James Binney.
Galactic Astronomy -- Structure and Kinematics.
Princeton Series in Astrophysics. Freeman, 1981.
- 26
-
R. H. Miller.
Irreversibility in small stellar dynamical systems.
The Astrophysical Journal, 140:250, 1964.
- 27
-
D. Pfenniger and D. Friedli.
Computational issues connected with 3D N-body simulations.
Astronomy and Astrophysics, 270:561-572, 1993.
- 28
-
William H. Press, Saul A. Teukolsky, William T. Vetterling, and Brian P.
Flannery.
Numerical Recipes in C.
Cambridge University Press, second edition, 1992.
- 29
-
Gerald D. Quinlan and Scott Tremaine.
On the reliability of gravitational N-body integrations.
Monthly Notices of the Royal Astronomical Society,
259:505-518, 1992.
- 30
-
J. A. Sellwood.
The global stability of our Galaxy.
Monthly Notices of the Royal Astronomical Society,
217:127-148, 1985.
- 31
-
J. A. Sellwood.
The art of N-body building.
Annual Review of Astronomy and Astrophysics, 25:151-86, 1987.
- 32
-
Jaswinder Pal Singh, John L. Hennessy, and Anoop Gupta.
Implications of Hierarchical N-body Methods for Multiprocessor
Architecture.
Technical Report CSL-TR-92-506, Computer Systems Lab, Stanford
University, Stanford, CA 94305, 1992.
- 33
-
Simon D. White.
Simulations of sinking galaxies.
The Astrophysical Journal, 274:53-61, 1983.
Next: About this document
Up: Top
Previous: Jacobian of an N-M
Wayne Hayes
Sun Dec 29 23:43:59 EST 1996